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Hoài-Minh Nguyên

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Publications associées (57)

On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Hoài-Minh Nguyên

We establish improved versions of the Hardy and Caffarelli-Kohn-Nirenberg inequalities by replacing the standard Dirichlet energy with some nonlocal nonconvex functionals which have been involved in estimates for the topological degree of continuous maps f ...

2019

Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy

Hoài-Minh Nguyên, Arka Mallick

2019

Approximate Cloaking for The Heat Equation via Transformation Optics

Hoài-Minh Nguyên

2019

Approximate cloaking for time-dependent Maxwell equations via transformation optics

Hoài-Minh Nguyên, Xuan Loc Tran

2019

The invisibility via anomalous localized resonance of a source for electromagnetic waves

Hoài-Minh Nguyên

We investigate the invisibility via anomalous localized resonance of a general source in anisotropic media for electromagnetic waves. To this end, we first introduce the concept of doubly complementary media in the electromagnetic setting. These are media ...

SPRINGER INTERNATIONAL PUBLISHING AG2019

On anisotropic Sobolev spaces

Hoài-Minh Nguyên

2019

Cloaking via anomalous localized resonance for doubly complementary media in the finite frequency regime

Hoài-Minh Nguyên

Cloaking a source via anomalous localized resonance (ALR) was discovered by Milton and Nicorovici in [15]. A general setting in which cloaking a source via ALR takes place is the setting of doubly complementary media. This was introduced and studied in [20 ...

2019

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On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Hoài-Minh Nguyên

2019

The invisibility via anomalous localized resonance of a source for electromagnetic waves

Hoài-Minh Nguyên

SPRINGER INTERNATIONAL PUBLISHING AG2019

Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy

Hoài-Minh Nguyên, Arka Mallick

2019

Hoài-Minh Nguyên

Graph Chatbot

On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy

Approximate Cloaking for The Heat Equation via Transformation Optics

Approximate cloaking for time-dependent Maxwell equations via transformation optics

The invisibility via anomalous localized resonance of a source for electromagnetic waves

On anisotropic Sobolev spaces

Cloaking via anomalous localized resonance for doubly complementary media in the finite frequency regime

Cloaking using complementary media for electromagnetic waves

Negative index materials: some mathematical perspectives

Optimal time for the null-controllability of linear hyperbolic systems in one dimensional space

On Hardy and Caffarelli-Kohn-Nirenberg inequalities

The invisibility via anomalous localized resonance of a source for electromagnetic waves

Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy

Approximate Cloaking for The Heat Equation via Transformation Optics

Approximate cloaking for time-dependent Maxwell equations via transformation optics

On anisotropic Sobolev spaces

Cloaking using complementary media for electromagnetic waves

Negative index materials: some mathematical perspectives

Optimal time for the null-controllability of linear hyperbolic systems in one dimensional space

Cloaking via anomalous localized resonance for doubly complementary media in the finite frequency regime